Approximation Algorithms And Semidefinite Programming

Approximation Algorithms And Semidefinite Programming Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Approximation Algorithms And Semidefinite Programming book. This book definitely worth reading, it is an incredibly well-written.

Approximation Algorithms and Semidefinite Programming

Bernd Gärtner,Jiri Matousek
Approximation Algorithms and Semidefinite Programming Book PDF

Author : Bernd Gärtner,Jiri Matousek
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 41,6 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642220159

Get Book

Approximation Algorithms and Semidefinite Programming by Bernd Gärtner,Jiri Matousek Pdf

Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material. There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms. This book follows the “semidefinite side” of these developments, presenting some of the main ideas behind approximation algorithms based on semidefinite programming. It develops the basic theory of semidefinite programming, presents one of the known efficient algorithms in detail, and describes the principles of some others. It also includes applications, focusing on approximation algorithms.

Aspects of Semidefinite Programming

E. de Klerk
Aspects of Semidefinite Programming Book PDF

Author : E. de Klerk
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 54,6 Mb
Release : 2006-04-18
Category : Computers
ISBN : 9780306478192

Get Book

Aspects of Semidefinite Programming by E. de Klerk Pdf

Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming. In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several "classic" applications of semidefinite programming are also described in detail. These include the Lovász theta function and the MAX-CUT approximation algorithm by Goemans and Williamson. Audience: Researchers or graduate students in optimization or related fields, who wish to learn more about the theory and applications of semidefinite programming.

The Design of Approximation Algorithms

David P. Williamson,David B. Shmoys
The Design of Approximation Algorithms Book PDF

Author : David P. Williamson,David B. Shmoys
Publisher : Cambridge University Press
Page : 518 pages
File Size : 44,9 Mb
Release : 2011-04-26
Category : Computers
ISBN : 0521195276

Get Book

The Design of Approximation Algorithms by David P. Williamson,David B. Shmoys Pdf

Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

The Design of Approximation Algorithms

David P. Williamson,David B. Shmoys
The Design of Approximation Algorithms Book PDF

Author : David P. Williamson,David B. Shmoys
Publisher : Cambridge University Press
Page : 517 pages
File Size : 43,7 Mb
Release : 2011-04-26
Category : Computers
ISBN : 9781139498173

Get Book

The Design of Approximation Algorithms by David P. Williamson,David B. Shmoys Pdf

Discrete optimization problems are everywhere, from traditional operations research planning (scheduling, facility location and network design); to computer science databases; to advertising issues in viral marketing. Yet most such problems are NP-hard; unless P = NP, there are no efficient algorithms to find optimal solutions. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first section is devoted to a single algorithmic technique applied to several different problems, with more sophisticated treatment in the second section. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithm courses, it will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

Lectures on Proof Verification and Approximation Algorithms

Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger
Lectures on Proof Verification and Approximation Algorithms Book PDF

Author : Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger
Publisher : Springer
Page : 351 pages
File Size : 45,5 Mb
Release : 2006-06-08
Category : Computers
ISBN : 9783540697015

Get Book

Lectures on Proof Verification and Approximation Algorithms by Ernst W. Mayr,Hans Jürgen Prömel,Angelika Steger Pdf

During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Chandra Chekuri
Approximation Randomization and Combinatorial Optimization Algorithms and Techniques Book PDF

Author : Chandra Chekuri
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 46,7 Mb
Release : 2005-08-08
Category : Computers
ISBN : 9783540282396

Get Book

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Chandra Chekuri Pdf

This book constitutes the joint refereed proceedings of the 8th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2005 and the 9th International Workshop on Randomization and Computation, RANDOM 2005, held in Berkeley, CA, USA in August 2005. The volume contains 41 carefully reviewed papers, selected by the two program committees from a total of 101 submissions. Among the issues addressed are design and analysis of approximation algorithms, hardness of approximation, small space and data streaming algorithms, sub-linear time algorithms, embeddings and metric space methods, mathematical programming methods, coloring and partitioning, cuts and connectivity, geometric problems, game theory and applications, network design and routing, packing and covering, scheduling, design and analysis of randomized algorithms, randomized complexity theory, pseudorandomness and derandomization, random combinatorial structures, random walks/Markov chains, expander graphs and randomness extractors, probabilistic proof systems, random projections and embeddings, error-correcting codes, average-case analysis, property testing, computational learning theory, and other applications of approximation and randomness.

Approximation Algorithms

Vijay V. Vazirani
Approximation Algorithms Book PDF

Author : Vijay V. Vazirani
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 49,5 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662045657

Get Book

Approximation Algorithms by Vijay V. Vazirani Pdf

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Approximation Algorithms for Combinatorial Optimization

Klaus Jansen,Stefano Leonardi,Vijay Vazirani
Approximation Algorithms for Combinatorial Optimization Book PDF

Author : Klaus Jansen,Stefano Leonardi,Vijay Vazirani
Publisher : Springer
Page : 276 pages
File Size : 50,8 Mb
Release : 2003-06-30
Category : Computers
ISBN : 9783540457534

Get Book

Approximation Algorithms for Combinatorial Optimization by Klaus Jansen,Stefano Leonardi,Vijay Vazirani Pdf

This book constitutes the refereed proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2002, held in Rome, Italy in September 2002. The 20 revised full papers presented were carefully reviewed and selected from 54 submissions. Among the topics addressed are design and analysis of approximation algorithms, inapproximability results, online problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and applications to game theory and other fields.

LATIN 2008: Theoretical Informatics

Eduardo Sany Laber
LATIN 2008 Theoretical Informatics Book PDF

Author : Eduardo Sany Laber
Publisher : Springer Science & Business Media
Page : 808 pages
File Size : 52,9 Mb
Release : 2008-03-17
Category : Computers
ISBN : 9783540787723

Get Book

LATIN 2008: Theoretical Informatics by Eduardo Sany Laber Pdf

This book constitutes the refereed proceedings of the 8th International Latin American Symposium on Theoretical Informatics, LATIN 2008, held in Búzios, Brazil, in April 2008. The 66 revised full papers presented together with the extended abstract of 1 invited paper were carefully reviewed and selected from 242 submissions. The papers address a veriety of topics in theoretical computer science with a certain focus on algorithms, automata theory and formal languages, coding theory and data compression, algorithmic graph theory and combinatorics, complexity theory, computational algebra, computational biology, computational geometry, computational number theory, cryptography, theoretical aspects of databases and information retrieval, data structures, networks, logic in computer science, machine learning, mathematical programming, parallel and distributed computing, pattern matching, quantum computing and random structures.

Approximation Algorithms for NP-hard Problems

Dorit S. Hochbaum
Approximation Algorithms for NP hard Problems Book PDF

Author : Dorit S. Hochbaum
Publisher : Course Technology
Page : 632 pages
File Size : 49,9 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015058079271

Get Book

Approximation Algorithms for NP-hard Problems by Dorit S. Hochbaum Pdf

This is the first book to fully address the study of approximation algorithms as a tool for coping with intractable problems. With chapters contributed by leading researchers in the field, this book introduces unifying techniques in the analysis of approximation algorithms. APPROXIMATION ALGORITHMS FOR NP-HARD PROBLEMS is intended for computer scientists and operations researchers interested in specific algorithm implementations, as well as design tools for algorithms. Among the techniques discussed: the use of linear programming, primal-dual techniques in worst-case analysis, semidefinite programming, computational geometry techniques, randomized algorithms, average-case analysis, probabilistically checkable proofs and inapproximability, and the Markov Chain Monte Carlo method. The text includes a variety of pedagogical features: definitions, exercises, open problems, glossary of problems, index, and notes on how best to use the book.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Klaus Jansen,Sanjeev Khanna,José D. P. Rolim,Dana Ron
Approximation Randomization and Combinatorial Optimization Algorithms and Techniques Book PDF

Author : Klaus Jansen,Sanjeev Khanna,José D. P. Rolim,Dana Ron
Publisher : Springer
Page : 434 pages
File Size : 53,5 Mb
Release : 2004-10-20
Category : Computers
ISBN : 9783540278214

Get Book

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Klaus Jansen,Sanjeev Khanna,José D. P. Rolim,Dana Ron Pdf

This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Design and Analysis of Approximation Algorithms

Ding-Zhu Du,Ker-I Ko,Xiaodong Hu
Design and Analysis of Approximation Algorithms Book PDF

Author : Ding-Zhu Du,Ker-I Ko,Xiaodong Hu
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 52,8 Mb
Release : 2011-11-18
Category : Mathematics
ISBN : 9781461417019

Get Book

Design and Analysis of Approximation Algorithms by Ding-Zhu Du,Ker-I Ko,Xiaodong Hu Pdf

This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.

Approximation and Online Algorithms

Thomas Erlebach,Giuseppe Persiano
Approximation and Online Algorithms Book PDF

Author : Thomas Erlebach,Giuseppe Persiano
Publisher : Springer
Page : 349 pages
File Size : 52,7 Mb
Release : 2006-02-16
Category : Computers
ISBN : 9783540322085

Get Book

Approximation and Online Algorithms by Thomas Erlebach,Giuseppe Persiano Pdf

This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Approximation and Online Algorithms, held in Palma de in October 2005. The 26 revised full papers presented were carefully reviewed and selected from 68 submissions. Topics addressed by the workshop include algorithmic game theory, approximation classes, coloring and partitioning, competitive analysis, computational finance, cuts and connectivity, geometric problems, and mechanism design.

Handbook of Approximation Algorithms and Metaheuristics

Teofilo F. Gonzalez
Handbook of Approximation Algorithms and Metaheuristics Book PDF

Author : Teofilo F. Gonzalez
Publisher : CRC Press
Page : 840 pages
File Size : 42,8 Mb
Release : 2018-05-15
Category : Computers
ISBN : 9781351236409

Get Book

Handbook of Approximation Algorithms and Metaheuristics by Teofilo F. Gonzalez Pdf

Handbook of Approximation Algorithms and Metaheuristics, Second Edition reflects the tremendous growth in the field, over the past two decades. Through contributions from leading experts, this handbook provides a comprehensive introduction to the underlying theory and methodologies, as well as the various applications of approximation algorithms and metaheuristics. Volume 1 of this two-volume set deals primarily with methodologies and traditional applications. It includes restriction, relaxation, local ratio, approximation schemes, randomization, tabu search, evolutionary computation, local search, neural networks, and other metaheuristics. It also explores multi-objective optimization, reoptimization, sensitivity analysis, and stability. Traditional applications covered include: bin packing, multi-dimensional packing, Steiner trees, traveling salesperson, scheduling, and related problems. Volume 2 focuses on the contemporary and emerging applications of methodologies to problems in combinatorial optimization, computational geometry and graphs problems, as well as in large-scale and emerging application areas. It includes approximation algorithms and heuristics for clustering, networks (sensor and wireless), communication, bioinformatics search, streams, virtual communities, and more. About the Editor Teofilo F. Gonzalez is a professor emeritus of computer science at the University of California, Santa Barbara. He completed his Ph.D. in 1975 from the University of Minnesota. He taught at the University of Oklahoma, the Pennsylvania State University, and the University of Texas at Dallas, before joining the UCSB computer science faculty in 1984. He spent sabbatical leaves at the Monterrey Institute of Technology and Higher Education and Utrecht University. He is known for his highly cited pioneering research in the hardness of approximation; for his sublinear and best possible approximation algorithm for k-tMM clustering; for introducing the open-shop scheduling problem as well as algorithms for its solution that have found applications in numerous research areas; as well as for his research on problems in the areas of job scheduling, graph algorithms, computational geometry, message communication, wire routing, etc.

Approximation Algorithms for Combinatorial Optimization

Klaus Jansen,Jose Rolim
Approximation Algorithms for Combinatorial Optimization Book PDF

Author : Klaus Jansen,Jose Rolim
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 41,7 Mb
Release : 1998-07
Category : Computers
ISBN : 3540647368

Get Book

Approximation Algorithms for Combinatorial Optimization by Klaus Jansen,Jose Rolim Pdf

Computer simulation has become a basic tool in many branches of physics such as statistical physics, particle physics, or materials science. The application of efficient algorithms is at least as important as good hardware in large-scale computation. This volume contains didactic lectures on such techniques based on physical insight. The emphasis is on Monte Carlo methods (introduction, cluster algorithms, reweighting and multihistogram techniques, umbrella sampling), efficient data analysis and optimization methods, but aspects of supercomputing, the solution of stochastic differential equations, and molecular dynamics are also discussed. The book addresses graduate students and researchers in theoretical and computational physics.